Open Call-by-Value

Beniamino Accattoli 1, 2 Giulio Guerrieri 3
1 PARSIFAL - Proof search and reasoning with logic specifications
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR7161
Abstract : The elegant theory of the call-by-value lambda-calculus relies on weak evaluation and closed terms, that are natural hypotheses in the study of programming languages. To model proof assistants, however, strong evaluation and open terms are required, and it is well known that the operational semantics of call-by-value becomes problematic in this case. Here we study the intermediate setting—that we call Open Call-by-Value—of weak evaluation with open terms, on top of which Grégoire and Leroy designed the abstract machine of Coq. Various calculi for Open Call-by-Value already exist, each one with its pros and cons. This paper presents a detailed comparative study of the operational semantics of four of them, coming from different areas such as the study of abstract machines, denotational semantics, linear logic proof nets, and sequent calculus. We show that these calculi are all equivalent from a termination point of view, justifying the slogan Open Call-by-Value.
Type de document :
Communication dans un congrès
14th Asian Symposium on Programming Languages and Systems (APLAS), Nov 2016, Hanoi, Vietnam. pp.206 - 226, 2016, 〈http://soict.hust.edu.vn/~aplas2016/〉. 〈10.1007/978-3-319-47958-3_12〉
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Contributeur : Beniamino Accattoli <>
Soumis le : mardi 3 janvier 2017 - 15:45:05
Dernière modification le : jeudi 18 janvier 2018 - 01:52:08
Document(s) archivé(s) le : mardi 4 avril 2017 - 14:32:24

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Beniamino Accattoli, Giulio Guerrieri. Open Call-by-Value. 14th Asian Symposium on Programming Languages and Systems (APLAS), Nov 2016, Hanoi, Vietnam. pp.206 - 226, 2016, 〈http://soict.hust.edu.vn/~aplas2016/〉. 〈10.1007/978-3-319-47958-3_12〉. 〈hal-01425465〉

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